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Simplifying 36 + 4n = -1(5n + 6) Reorder the terms: 36 + 4n = -1(6 + 5n) 36 + 4n = (6 * -1 + 5n * -1) 36 + 4n = (-6 + -5n) Solving 36 + 4n = -6 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 36 + 4n + 5n = -6 + -5n + 5n Combine like terms: 4n + 5n = 9n 36 + 9n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 36 + 9n = -6 + 0 36 + 9n = -6 Add '-36' to each side of the equation. 36 + -36 + 9n = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 9n = -6 + -36 9n = -6 + -36 Combine like terms: -6 + -36 = -42 9n = -42 Divide each side by '9'. n = -4.666666667 Simplifying n = -4.666666667
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